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Relativistic Hierarchy of Reference Systems and Time Scales

Published online by Cambridge University Press:  12 April 2016

V.A. Brumberg*
Affiliation:
Institute of Applied Astronomy197042 Leningrad , U.S.S.R.

Abstract

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Relativistic hierarchy of reference systems (RS) developed in recent years by different authors is examined in detail. Metric expressions and transformation relations for solar system barycentric RS (BRS), heliocentric RS (HRS), Earth-Moon local RS (LRS), geocentric RS (GRS), topocentric RS (TRS)and Earth satellite RS (SRS) may be obtained explicitly in harmonic coordinates of GRT. The time coordinate of any RS involves the corresponding time scale. Particular attention is given to the closed form representation of GRS avoiding expansions in powers of the geocentric coordinates. GRS has been constructed in both versions of dynamically non-rotating GRS (DGRS) or kinematically non-rotating GRS (KGRS). DGRS and KGRS differ in their space axes orientation by the amount of the geodesic precession. Similarly, taking into account the motion of the Sun around the center of the Galaxy one should distinguish between dynamically non-rotating BRS (DBRS) and kinematically non-rotating BRS (KBRS) differing in their space axes orientation by the amount of the galactic precession. Reduction to the galactic time and the galactic space axes may be needed in the nearest future.

Type
Part 1. Oral Papers
Copyright
Copyright © United States Naval Observatory 1991

References

Ashby, N. and Bertotti, B. 1986. Relativistic Effects in Local lnertial Frames. Phys. Rev. D 34, 2246 Google Scholar
Brumberg, V.A. 1991. Essential Relativistic Celestial Mechanics. Adam Hilger, Bristol (in press)Google Scholar
Brumberg, V.A. and Kopejkin, S.M. 1989a. Relativistic Theory of Celestial Reference Frames. In: Reference Frames (eds. Kovalevsky, J., Mueller, I.I. and Kolaczek, B.), p. 115, Kluwer, Dordrecht CrossRefGoogle Scholar
Brumberg, V.A. and Kopejkin, S.M. 1989b. Relativistic Reference Systems and Motion of Test Bodies in the Vicinity of the Earth. Nuovo Cimento B 103, 63 Google Scholar
Brumberg, V.A. and Kopejkin, S.M. 1990. Relativistic Time Scales in the Solar System. Celest. Mech. 48, 23 Google Scholar
Fukushima, T. 1988. The Fermi Coordinate System in the Post-Newtonian Framework. Celest. Mech. 44, 61 Google Scholar
Kopejkin, S.M. 1988. Celestial Coordinate Keference Systems in Curved Space-Time. Celest. Mech. 44, 87 Google Scholar
Kopejkin, S.M. 1989a. Relativistic Reference Frames for the Solar System. Astron. J. (USSR) 66, 1069 Google Scholar
Kopejkin, S.M. 1989b. Asymptotic Matching of the Solar System Gravitational Fields. Astron. J. (USSR) 66, 1289 Google Scholar
Misner, C.W., Thorne, K.S. and Wheeler, J.A. 1973. Gravitation. Freeman, San-Francisco Google Scholar
Soffel, M. 1989. Relativity in Astrometry, Celestial Mechanics and Geodesy. Springer, Berlin CrossRefGoogle Scholar
Voinov, A.V. 1990. Relativistic Equations of Earth Satellite Motion. Manuscripta Geodaetica 15, 65 Google Scholar
Will, C.M. 1981. Theory and Experiment in Gravitational Physics. Cambridge Univ. Press, Cambridge Google Scholar